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2113272234432 = 26342141190403
BaseRepresentation
bin11110110000001000110…
…101110100000111000000
321111000201120112120010000
4132300020311310013000
5234110440143000212
64254453542040000
7305451566416422
oct36601065640700
97430646476100
102113272234432
117452630a1077
122a1696719000
13124385971668
14743d64a2812
1539e874e11dc
hex1ec08d741c0

2113272234432 has 140 divisors (see below), whose sum is σ = 6267359770056. Its totient is φ = 704091363840.

The previous prime is 2113272234427. The next prime is 2113272234433. The reversal of 2113272234432 is 2344322723112.

It is a happy number.

2113272234432 is a `hidden beast` number, since 2 + 1 + 13 + 272 + 2 + 344 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113272234433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11003743 + ... + 11194145.

Almost surely, 22113272234432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2113272234432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3133679885028).

2113272234432 is an abundant number, since it is smaller than the sum of its proper divisors (4154087535624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2113272234432 is a wasteful number, since it uses less digits than its factorization.

2113272234432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192568 (or 192549 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

Adding to 2113272234432 its reverse (2344322723112), we get a palindrome (4457594957544).

The spelling of 2113272234432 in words is "two trillion, one hundred thirteen billion, two hundred seventy-two million, two hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2141 2592 4282 5184 6423 8564 12846 17128 19269 25692 34256 38538 51384 57807 68512 77076 102768 115614 137024 154152 173421 190403 205536 231228 308304 346842 380806 411072 462456 571209 616608 693684 761612 924912 1142418 1233216 1387368 1523224 1713627 1849824 2284836 2774736 3046448 3427254 3699648 4569672 5140881 5549472 6092896 6854508 9139344 10281762 11098944 12185792 13709016 15422643 18278688 20563524 27418032 30845286 36557376 41127048 54836064 61690572 82254096 109672128 123381144 164508192 246762288 329016384 407652823 493524576 815305646 987049152 1222958469 1630611292 2445916938 3261222584 3668875407 4891833876 6522445168 7337750814 9783667752 11006626221 13044890336 14675501628 19567335504 22013252442 26089780672 29351003256 33019878663 39134671008 44026504884 58702006512 66039757326 78269342016 88053009768 117404013024 132079514652 176106019536 234808026048 264159029304 352212039072 528318058608 704424078144 1056636117216 2113272234432